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Finding the Third Proportional to 607,309,898,304 and 1,264,886,478,192

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Solution

The third proportional to 607,309,898,304 and 1,264,886,478,192 is: 2,634,466,863,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,309,898,304 : 1,264,886,478,192 = 1,264,886,478,192 : x
  2. Step 2: Convert to fraction form
    607,309,898,304/1,264,886,478,192 = 1,264,886,478,192/x
  3. Step 3: Cross multiply
    607,309,898,304x = 1,264,886,478,192 × 1,264,886,478,192
  4. Step 4: Simplify right side
    607,309,898,304x = 1,599,937,802,712,960,875,888,640
  5. Step 5: Solve for x
    x = 1,599,937,802,712,960,875,888,640/607,309,898,304
  6. Step 6: Final answer
    x = 2,634,466,863,097.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.